Atkin-Lehner |
2+ 3- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8418a |
Isogeny class |
Conductor |
8418 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1040 |
Modular degree for the optimal curve |
Δ |
134688 = 25 · 3 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -5 0 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,44] |
[a1,a2,a3,a4,a6] |
Generators |
[2:0:1] |
Generators of the group modulo torsion |
j |
1838265625/134688 |
j-invariant |
L |
3.8691487619205 |
L(r)(E,1)/r! |
Ω |
3.2142589962146 |
Real period |
R |
1.2037451762528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67344j1 25254o1 |
Quadratic twists by: -4 -3 |